You can file for a trademark on words, stylized words, or designed logos.
Filing for the mark on the words themselves, called a standard character mark, offers you very broad protection for your trade name. If you have this kind of registration, you can assert your mark against with a confusingly similar mark for related goods and services in any configuration of the words – regardless of whether you or your competitor use the words within a design.
A stylized mark can only consist of stylized characters and punctuation, and covers specifically confusingly similar designs of those words.
A design mark can include figures, drawings, and characters, and protects against confusingly similar designs. If your trademark is a cartoon baseball, you could prevent competitors from using similar drawings, even if they use a different trade name.